S. Caenepeel

activity

20002007

most citedGalois corings applied to partial Galois theory

28 citations · 71 across the 24 of their papers we have counts for

collaborators

Showing 2002 · math.QAShow all

4 papers · 2 filters

math.QA2002

Two-sided (two-cosided) Hopf modules and Doi-Hopf modules for quasi-Hopf algebras

D. Bulacu, S. Caenepeel

Let $H$ be a finite dimensional quasi-Hopf algebra over a field $k$ and $A$ a right $H$ -comodule algebra in the sense of Hausser and Nill. We first show that on the $k$ …

math.QA2002

Semisimplicity of the categories of Yetter-Drinfeld modules and Long dimodules

S. Caenepeel, T. Guédénon

Let $k$ be a field, and $H$ a Hopf algebra with bijective antipode. If $H$ is commutative, noetherian, semisimple and cosemisimple, then the category $_{H} YD^{H}$ of Y…

math.QA2002

Twistings, crossed coproducts and Hopf-Galois coextensions

S. Caenepeel, Dingguo Wang, Yanxin Wang

Let $H$ be a Hopf algebra. Ju and Cai introduced the notion of twisting of an $H$ -module coalgebra. In this note, we study the relationship between twistings, crossed coproducts an…

math.QA2002

Projectivity of a relative Hopf module over the subring of coinvariants

S. Caenepeel, T. Guédeénon

Let $k$ be a commutative ring, $H$ a faithfully flat Hopf algebra with bijective antipode, $A$ a $k$ -flat right $H$ -comodule algebra. We investigate when a relative Hopf module is…